10011112120111 has 2 divisors, whose sum is σ = 10011112120112. Its totient is φ = 10011112120110.

The previous prime is 10011112120099. The next prime is 10011112120129. The reversal of 10011112120111 is 11102121111001.

10011112120111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (11102121111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011112120111 - 2²⁷ = 10010977902383 is a prime.

It is a super-2 number, since 2×10011112120111² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011112120091 and 10011112120100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011112120151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005556060055 + 5005556060056.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556060056).

Almost surely, 2^{10011112120111} is an apocalyptic number.

10011112120111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112120111 is an equidigital number, since it uses as much as digits as its factorization.

10011112120111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10011112120111 its reverse (11102121111001), we get a palindrome (21113233231112).

The spelling of 10011112120111 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty thousand, one hundred eleven".